Euclidean, Non-Euclidean, and Transformational Geometry

Euclidean, Non-Euclidean, and Transformational Geometry

A Deductive Inquiry

Libeskind, Shlomo; Jubran, Isa S.

Birkhauser Verlag AG

12/2024

668

Dura

9783031741524

Pré-lançamento - envio 15 a 20 dias após a sua edição

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Preface.- Surprising Results and Basic Notions.- Congruence, Constructions, and the Parallel Postulate.- Circles.- Area and the Pythagorean Theorem.- Similarity.- Isometries and Size Transformations.- Composition of Transformations.- More Recent Discoveries.- Inversion.- Hyperbolic Geometry.- Elliptic Geometries.- Projective Geometry.- Taxicab Geometry.- Fractal Geometry.- Solid Geometry.
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Euclidean geometry;Non-Euclidean geometry;transformations;geometric constructions;congruence;similarity;isometries;inversion;hyperbolic geometry;elliptic geometry;projective geometry;taxicab geometry;fractal geometry;solid geometry